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math.NA2024
High-order numerical integration on regular embedded surfaces
Gentian Zavalani, Michael Hecht
We present a high-order surface quadrature (HOSQ) for accurately approximating regular surface integrals on closed surfaces. The initial step of our approach rests on exploiting sq…
math.NA2023
High-order integration on regular triangulated manifolds reaches super-algebraic approximation rates through cubical re-parameterizations
Gentian Zavalani, Oliver Sander, Michael Hecht
We present a novel methodology for deriving high-order volume elements (HOVE) designed for the integration of scalar functions over regular embedded manifolds. For constructing HOV…